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Finding the Fourth Proportional to 18,827.28, 25,985.88 and 10,872

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Solution

The fourth proportional to 18,827.28, 25,985.88 and 10,872 is: 15,005.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,827.28 : 25,985.88 = 10,872 : x
  2. Step 2: Convert to fraction form
    18,827.28/25,985.88 = 10,872/x
  3. Step 3: Cross multiply
    18,827.28x = 25,985.88 × 10,872
  4. Step 4: Simplify right side
    18,827.28x = 282,518,487.36
  5. Step 5: Solve for x
    x = 282,518,487.36/18,827.28
  6. Step 6: Final answer
    x = 15,005.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.